Atkin-Lehner |
2+ 3- 5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
93330v |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
214272 |
Modular degree for the optimal curve |
Δ |
-26753461125120 = -1 · 218 · 39 · 5 · 17 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-864,-248832] |
[a1,a2,a3,a4,a6] |
Generators |
[81984:1203168:343] |
Generators of the group modulo torsion |
j |
-97908438529/36698849280 |
j-invariant |
L |
6.3603731759507 |
L(r)(E,1)/r! |
Ω |
0.29936499345955 |
Real period |
R |
5.3115538964192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999781529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31110u1 |
Quadratic twists by: -3 |